Cremona's table of elliptic curves

2961 = 3² · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
2961a (1 curve)	1	3+ 7+ 47+	0 3+ -2 7+ -1  2 -3  7
Curve Equation t Generators 2961a1 [0,0,1,-6,7] 1 [1:1:1]
2961b (1 curve)	0	3+ 7+ 47-	0 3+  2 7+  1  2  3  7
Curve Equation t 2961b1 [0,0,1,-54,-196] 1
2961c (2 curves)	0	3- 7+ 47+	1 3-  2 7+  2  4 -6 -2
Curve Equation t 2961c1 [1,-1,0,14364,-264141] 2 2961c2 [1,-1,0,-62181,-2147148] 2
2961d (4 curves)	0	3- 7+ 47+	1 3- -2 7+  0  2 -2 -4
Curve Equation t 2961d1 [1,-1,0,-558,5215] 2 2961d2 [1,-1,0,-603,4360] 4 2961d3 [1,-1,0,-3438,-73319] 2 2961d4 [1,-1,0,1512,26779] 2
2961e (1 curve)	0	3- 7+ 47+	1 3- -3 7+ -3 -6 -6  8
Curve Equation t 2961e1 [1,-1,0,2214,39361] 1
2961f (2 curves)	2	3- 7+ 47+	-1 3- -4 7+ -2  0 -6 -4
Curve Equation t Generators 2961f1 [1,-1,1,58,60] 2 [2:12:1]&[6:21:1] 2961f2 [1,-1,1,-257,690] 2 [-16:30:1]&[-9:51:1]
2961g (1 curve)	0	3- 7+ 47+	-2 3-  0 7+ -3  6 -3  5
Curve Equation t 2961g1 [0,0,1,-1875,-31262] 1
2961h (1 curve)	1	3- 7+ 47-	-2 3- -4 7+ -1 -2  3  1
Curve Equation t Generators 2961h1 [0,0,1,-18597,-2718954] 1 [347:5710:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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